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Tems11 [23]
3 years ago
12

Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio usi

ng the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4
Mathematics
2 answers:
4vir4ik [10]3 years ago
7 0

Answer:

{5/7}(3-1)+1

Step-by-step explanation:

got it right on edg

oee [108]3 years ago
5 0

Answer:

Options are not clear.

See explanation

Step-by-step explanation:

Given

C = (-4,1)

D = (3,3)

m : n =5:2

Required

The y coordinate

When a line is divided into segments, by ratios.

The formula is:

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

By comparison:

y = \frac{my_2 + ny_1}{m + n}

Where:

y_1 = 1; y_2 = 3

m : n =5:2

So, we have:

y = \frac{5*3 + 2*1}{5 + 2}

y = \frac{15 + 2}{7}

y = \frac{17}{7}

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6 0
4 years ago
Identify the natural number that is closest to 4–√.<br><br> 2<br> 3<br> 1<br> 4
Minchanka [31]
I think the result are 1 and 4
7 0
3 years ago
Find the distance between the lines with equations -4x+7y+9=0 and y=4/7x-9
uysha [10]

Answer:

54/sqrt(65)

Step-by-step explanation:

You can only find the distance between two lines that are parallel.  If they are not parallel they are different lengths everywhere.  So first lets check they are parallel.  i am going to write them in slope intercept form, which is y = mx + b

-4x+7y+9=0

-4x + 9 = -7y

y = 4/7 x - 9/7

y = 4/7x - 9

the slopes (m) are the same so theya re parallel.  

Now, to find the distance we want a line that is perpendicular to the two, find where that line intersects both lines, then find the distance between those two points.  Easy right?

First a line that is perpendicular.  Super easy, a perpendicular line as a slope of -1/m.  for these two functons m = 4/7 so slope for this perpendicular equation is -7/4.

so the most simple function is y = -7/4 x so let's use that.

Now when does y = -7/4 x intersect y = 4/7 x - 9/7 and y = 4/7x - 9?  just set them equal to each other.  

-7/4 x = 4/7 x - 9/7

-7/4 x - 4/7 x = -9/7

(-49 - 16)/28 x = -9/7

-65/28 x = -9/7

x = 252/455

x = 36/65

Just double check, plug this into both equations and you should get the same answer.  

-7/4 x

-7/4 (36/65)

-63/65

4/7 x - 9/7

4/7 (36/65) - 9/7

-63/65

So the point is (36/65, -63/65)  Fun.  Next

-7/4 x =  4/7x - 9  Just gonna do this in one step.

x = 252/65

so now -7/4 252/65 = 4/7 252/65 - 9 = -441/65  So the point is (252/65, -441/65)

Now, we want the distance between  (36/65, -63/65) and  (252/65, -441/65)

sqrt((252/65 - 36/65)^2 + (-441/65 - -63/65)^2) = 54/sqrt(65)

So that's the distance between the two lines.  

6 0
3 years ago
How Would You multiply This To get The Volume
weqwewe [10]
Volume Formula = Length x Wigth x Highth  
7 0
3 years ago
Read 2 more answers
On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a
Ann [662]

Answer:

d

Step-by-step explanation:

d=(x, y) =(8,-4) so 4th quadrant

8 0
3 years ago
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